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JEE Mains · Physics · STD 11 - Friction
  • JEE Mains 2026
  • Hard
  • MCQ

A large drum having radius \(R\) is spinning around its axis with angular velocity \(\omega\), as shown in figure. The minimum value of \(\omega\) so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is \(\mu\), is :
image

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Answer & Solution

Correct Answer

(D) \( \sqrt{\frac{g}{\mu R}} \)

Step-by-step Solution

Detailed explanation


image
\(N = m \omega^2 r , mg =\mu N\)
\(\mu \times m \omega^2 r = mg\)
\(\omega=\sqrt{\frac{g}{\mu r}}\)
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